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To solve the equation: (5x+3)/(x) + x = 1, where (x) is the denominator, we have to convert the equation into an equation without any denominators. To do this, we multiply each variable by (x), so the equati...

The chain rule is used when you're trying to differentiate a complicated function, and it allows you to split up the function into easier ones. The trick is spotting where to split the function, and what par...

So you've encountered something like: g(x) = | 4 f( |x + 1| - 3 ) + 5 | What a mess! And you are only given the graph of f(x). How do we go about sketching g(x)? As in any problem in mathematics, let's break...

I have A* in Maths and Further Maths at A-level, and have tutored students in A-level maths for a year.

For a general quadratic equation of the form ax 2 + bx + c = 0 (1) We will solve for x via the ‘Completing the Square‘ method: First we divide equation (1) through by a on both sides, yielding: x 2 +(b/a)x +...